Almost-simple affine difference algebraic groups

Michael Wibmer*

*Corresponding author for this work

Research output: Contribution to journalArticle

Abstract

Affine difference algebraic groups are a generalization of affine algebraic groups obtained by replacing algebraic equations with algebraic difference equations. We show that the isomorphism theorems from abstract group theory have meaningful analogs for these groups and we establish a Jordan–Hölder type theorem that allows us to decompose any affine difference algebraic group into almost-simple affine difference algebraic groups. We also characterize almost-simple affine difference algebraic groups via almost-simple affine algebraic groups.
Original languageEnglish
Pages (from-to) 473–526
Number of pages54
JournalMathematische Zeitschrift
Volume299
Issue number1-2
DOIs
Publication statusPublished - Oct 2021

Keywords

  • Difference algebraic geometry
  • Difference algebraic groups
  • Difference Hopf algebras

ASJC Scopus subject areas

  • Mathematics(all)

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